Technical Field of the Invention
[0001] The present invention relates generally to microelectromechanical systems (MEMS)
devices. More specifically, the present invention relates to a MEMS angular rate sensor
with compensation for quadrature error.
Background of the Invention
[0002] Microelectromechanical systems (MEMS) technology has achieved wide popularity in
recent years, as it provides a way to make very small mechanical structures and integrate
these structures with electrical devices on a single substrate using conventional
batch semiconductor processing techniques. One common application of MEMS is the design
and manufacture of sensor devices. MEMS sensors are widely used in applications such
as automotive, inertial guidance systems, household appliances, game devices, protection
systems for a variety of devices, and many other industrial, scientific, and engineering
systems. One example of a MEMS sensor is a MEMS angular rate sensor. Alternatively
referred to as a "gyroscope", "gyrometer," "vibratory rate gyroscopes," "gyroscope
sensor," or "yaw rate sensor," an angular rate sensor senses angular speed or velocity
around one or more axes.
Brief Description of the Drawings
[0003] A more complete understanding of the present invention may be derived by referring
to the detailed description and claims when considered in connection with the Figures,
wherein like reference numbers refer to similar items throughout the Figures, and:
[0004] FIG. 1 shows a top view diagram of an angular rate sensor in accordance with an embodiment;
[0005] FIG. 2 shows a side view diagram of the angular rate sensor along section line 2-2
in FIG. 1;
[0006] FIG. 3 shows a table of equations representing the quadrature compensation feature
of the angular rate sensor of FIG. 1;
[0007] FIG. 4 shows a top view diagram of an angular rate sensor in accordance with another
embodiment; and
[0008] FIG. 5 shows an enlarged view of a portion of the angular rate sensor of FIG. 4.
Detailed Description
[0009] In vibratory angular rate sensors, an inherent problem is the existence of undesirable
interference signals, referred to as a quadrature component or quadrature error. Quadrature
error occurs in vibrating angular rate sensors due to manufacturing imperfections
that permit the sense mass to oscillate about an axis that is not orthogonal to the
sense axis. This creates an oscillation about the sense axis that can be confused
with Coriolis acceleration and subsequently, the rotation rate. Unfortunately, quadrature
error can result in offset error, reduced dynamic range, and increased noise for the
device. A large quadrature error can even cause a device to rail so that the sense
mass comes into contact with conductive electrodes potentially resulting in collision-related
damage, such as a short.
[0010] In some prior art devices, an electrostatic force may be applied via quadrature compensation
electrodes in opposite phase relation to the quadrature error in order to compensate
for, or otherwise null, the quadrature signal. While application of an electrostatic
force can suppress mechanical motion caused by quadrature error, this technique requires
relatively large voltage, large allocated area for quadrature compensation electrodes,
and/or precise phase matching between the quadrature error and the electrostatic compensation
force. In other prior art devices, a cancellation signal may be applied onto the front
end of the application-specific integrated circuit (ASIC) to null out the quadrature
signal. Such a technique can cancel large quadrature error without application of
an electrostatic force. However, mechanical quadrature motion still exists, and a
precise match must be made between the quadrature error signal and the cancellation
signal in order to effectively null the quadrature error.
[0011] Embodiments disclosed herein entail microelectromechanical systems (MEMS) devices
in the form of angular rate sensors in which a quadrature compensation technique is
implemented. It has been determined that when an angular rate sensor experiences quadrature
motion, both the drive mass and the sense mass move together in response to this quadrature
motion. In accordance with embodiments disclosed herein, quadrature compensation electrodes
are added in association with the drive mass. The quadrature compensation electrodes
are coupled in reverse polarity with the sense electrodes. By coupling the quadrature
compensation electrodes in reverse polarity with the sense electrodes, the capacitance
output due to quadrature error will be significantly reduced, thus compensating for
the quadrature error. Consequently, compensation for quadrature error is accomplished
without using electrostatic force.
[0012] Referring to FIGs. 1 and 2, FIG. 1 shows a top view diagram of a MEMS angular rate
sensor 20 in accordance with an embodiment, and FIG. 2 shows a side view diagram of
angular rate sensor 20 along section line 2-2 in FIG. 1. FIG. 2 is illustrated using
various shading and/or hatching to more clearly distinguish different elements produced
within the structural layers of angular rate sensor 20. The different elements within
the structural layers of angular rate sensor 20 may be produced utilizing current
and upcoming surface micromachining techniques of depositing, patterning, etching,
and so forth. Accordingly, although different shading and/or hatching is utilized
in the illustrations, the different elements and interconnects within the structural
layers are typically formed out of the same material, such as polysilicon, single
crystal silicon, and the like.
[0013] The elements of angular rate sensor 20 (discussed below) may be described variously
as being "attached to," "attached with," "coupled to," "fixed to," or "interconnected
with," other elements of angular rate sensor 20. However, it should be understood
that the terms refer to the direct or indirect physical connections of particular
elements of MEMS angular rate sensor 20 that occur during their formation through
patterning and etching processes of MEMS fabrication.
[0014] Angular rate sensor 20 includes a substrate 22, and conductive plates 24, 26, 28,
and 30, i.e., electrodes, that may be fixedly mounted or otherwise formed on a surface
32 of substrate 22. A structure 34 is coupled to and suspended above surface 32 of
substrate 22. Structure 34 overlies conductive plates 24, 26, 28, and 30 so that conductive
plates 24, 26, 28, and 30 are disposed between structure 34 and surface 32 of substrate
22. Consequently, conductive plates 24, 26, 28, and 30 are obscured in the top view
of sensor 20, and are thus represented in dashed line form in FIG. 1. Structure 34
includes a drive mass 36 flexibly attached with flexible support elements 38, e.g.
springs, to surface 32 of substrate 22 via anchors 40. Structure 34 further includes
a sense mass 42 residing in an opening extending through drive mass 36. Sense mass
42 is attached to drive mass 36 with flexible support elements, i.e., torsion flexures
44.
[0015] To operate angular rate sensor 20, a drive system (not shown for simplicity of illustration)
in communication with drive mass 36 enables mechanical oscillation, as represented
by a bi-directional arrow 45, of drive mass 36 in a plane parallel to surface 32 of
substrate 22 about a first axis of rotation, referred to herein as a drive axis 46.
As such, drive axis is perpendicular to surface 32. In this example, the drive axis
is a Z-axis 46 in a three-dimensional coordinate system. Thus, Z-axis 46 is referred
to herein as a drive axis 46 in connection with angular rate sensor 20. Sense mass
42 oscillates about the drive axis 46 together with drive mass 36 due to the high
stiffness of torsion flexures 44 to this motion. The oscillatory drive motion 45 may
be kept constant to maintain constant sensitivity of angular rate sensor 20. Additionally
or alternatively, the frequency of oscillation can be locked to the mechanical resonance
of drive mass 36 to minimize drive power.
[0016] Once sense mass 42 is put into oscillatory motion 45 about drive axis 46, it is capable
of detecting an angular rate, i.e., angular velocity, induced by angular rate sensor
20 being rotated about a second axis of rotation, referred to herein as an input axis.
In this example, the input axis is the Y-axis 48 in a three-dimensional coordinate
system. Thus, Y-axis 48 is referred to herein as an input axis 48 in connection with
angular rate sensor 20. As angular rate sensor 20 experiences an angular velocity
about input axis 48, sense mass 42 oscillates about a third axis of rotation, referred
to herein as a sense axis. In this example, the sense axis is the X-axis 50 in a three-dimensional
coordinate system. Thus, X-axis 50 is referred to herein as a sense axis 50 in connection
with angular rate sensor 20. In particular, a Coriolis acceleration occurs about sense
axis 50, which is perpendicular to both drive axis 46, and input axis 48. The Coriolis
acceleration results in out-of-plane movement of sense mass 42 about sense axis 50,
as represented by solid arrows 51, where the out-of-plane movement 51 has an amplitude
that is proportional to the angular rotation rate of sensor 20 about input axis 48.
[0017] In an embodiment, sense axis 50 (i.e., the third axis of rotation), separates drive
mass 36 into a first region 52 on one side of sense axis 50 and a second region 54
on the opposite side of sense axis 50. Likewise, sense axis 50 separates sense mass
42 into a third region 56 on one side of sense axis 50 and a fourth region 58 on the
opposite side of sense axis 50. Thus, first and third regions 52 and 56, respectively,
are laterally disposed on a first side 60 of sense axis 50 and second and fourth regions
54 and 58, respectively, are laterally disposed on a second side 62 of sense axis
50.
[0018] Substrate 22 can include a semiconductor layer (not shown) that is covered by one
or more insulation layers (not shown). The semiconductor layer is typically a silicon
wafer upon which electronics associated with angular rate sensor 20 may, in some cases,
also be fabricated using conventional manufacturing technologies. The insulating layer
may include glass, silicon dioxide, silicon nitride, or any other compatible material.
Conductive plate 24 may be formed in the semiconductor layer underlying first region
52 of drive mass 36, and conductive plate 26 may be formed in the semiconductor layer
underlying third region 56 of sense mass 42. Similarly, conductive plate 28 may be
formed in the semiconductor layer underlying fourth region 58, and conductive plate
30 may be formed in the semiconductor layer underlying second region 54, respectively,
of sense mass 42.
[0019] Conductive plates 24 and 30 are associated with drive mass 36 through their location
underlying drive mass 36, and conductive plates 26 and 28 are associated with sense
mass 42 through their location underlying sense mass 42. In accordance with a particular
embodiment, conductive plates 26 and 28 are implemented as sense electrodes for sensing
movement 51 of sense mass 42 about sense axis 50 due to Coriolis acceleration as described
above. As such, conductive plate 26 is alternatively referred to herein as a first
sense electrode 26 (and is illustrated using downwardly and rightwardly directed wide
hatching) and conductive plate 28 is alternatively referred to herein as a second
sense electrode 28 (and is illustrated using upwardly and rightwardly directed wide
hatching). In addition, conductive plates 24 and 30 are implemented as quadrature
compensation electrodes associated with drive mass 36, their purpose of which will
be described in detail below. As such, conductive plate 24 is alternatively referred
to herein as a first quadrature compensation electrode 24 (and is illustrated using
upwardly and rightwardly directed narrow hatching) and conductive plate 30 is alternatively
referred to herein as a second quadrature compensation electrode 30 (and is illustrated
using downwardly and rightwardly directed narrow hatching). The terms "first," "second,"
and so forth used herein do not refer to an ordering or prioritization of elements
within a countable series of elements. Rather, the terms "first," "second," and so
forth are used herein to distinguish similar or related elements, such as sense electrodes
26 and 28, quadrature compensation electrodes 24 and 30, and so forth for clarity
of discussion.
[0020] Conductors can be formed on substrate 22 to provide electrical connections to conductive
plates 24, 26, 28, and 30 and to sense mass 42. In accordance with a particular embodiment,
a first conductor 64 electrically couples first quadrature compensation electrode
24, disposed beneath first region 52 of drive mass 36 located at first side 60 of
sense axis 50, with second sense electrode 28, disposed beneath fourth region 58 of
sense mass 42 located at second side 62 of sense axis 50. In addition, a second conductor
66 electrically couples second quadrature compensation electrode 30, disposed beneath
second region 54 of drive mass 36 located at second side 62 of sense axis 50, with
first sense electrode 26, disposed beneath third region 56 of sense mass 42 located
at first side 60 of sense axis 50.
[0021] In the illustrated embodiment, a positive output terminal 68 (labeled "SMU+") is
coupled with second sense electrode 28 by way of first conductor 64 and first quadrature
compensation electrode 24. Likewise, a negative output terminal 70 (labeled "SMU-")
is coupled with first sense electrode 26 by way of second conductor 66 and second
quadrature compensation electrode 30. Thus, second sense electrode 28 may be considered
a positive sense pole of angular rate sensor 20, while first compensation electrode
24 may be considered a negative compensation pole of angular rate sensor 20. Similarly,
first sense electrode 26 may be considered a negative sense pole of angular rate sensor
20, while second compensation electrode 30 may be considered a positive compensation
pole of angular rate sensor 20.
[0022] First and second conductors 64 and 66, respectively, and positive and negative output
terminals 68 and 70, respectively, are represented in diagrammatic form for illustrative
purposes. Those skilled in the art will readily recognize that in practice first and
second conductors 64 and 66 and terminals 68 and 70 will be suitably formed as traces
and/or conductive pads on surface 32 of substrate 22 and/or formed in underlying layers
of substrate 22, in accordance with current and upcoming manufacturing processes.
In addition, electrodes 24, 26, 28, and 30 are formed from a conductive material such
as polysilicon, and can be formed at the same time as the respective conductors if
the same materials are chosen for such components. Furthermore, electrodes 24, 26,
28, and 30 as well as conductors 64 and 66, and terminals 68 and 70 are described
as being attached to or otherwise formed on surface 32 of substrate 22. In alternative
embodiments, electrodes 24, 26, 28, and 30 may be fixedly attached at their respective
first, second, third, and fourth regions 52, 54, 56, and 58 on drive mass 36 or sense
mass 42 with conductors 64 and 66 and terminals 68 and 70 being in electrical communication
with electrodes 24, 26, 28, and 30 as described above. Such a configuration may or
may not include additional electrodes or conductive regions (not shown) formed on
surface 32 of substrate 22.
[0023] The electrical coupling of first quadrature compensation electrode 24 with second
sense electrode 28 and their respective locations on opposing sides of sense axis
50 results in electrodes 24 and 28 being electrically coupled in reverse polarity.
Likewise, the electrical coupling of second quadrature compensation electrode 30 with
first sense electrode 26 and their respective locations on opposing sides of sense
axis 50 also results in electrodes 26 and 30 being electrically coupled in reverse
polarity.
[0024] In general, as sense mass 42 undergoes the oscillatory out-of-plane motion about
sense axis 50, the position change is sensed as changes in capacitance by first and
second sense electrodes 26 and 28. The change in capacitance sensed at first and second
electrodes 26 and 28 is processed electronically in the conventional manner to obtain
the angular rate of angular rate sensor 20 about input axis 48. However, it should
be recalled that drive mass 36 and sense mass 42 oscillate together about sense axis
50 in response to quadrature error. The motion of both drive mass 36 and sense mass
42 due to quadrature error is represented by arrows 71. This quadrature error produces
signal error components at each of first and second quadrature compensation electrodes
24 and 30, as well as at each of first and second sense electrodes 26 and 28. The
reverse polarity coupling of first quadrature compensation electrode 24 with second
sense electrode 28, and the reverse polarity coupling of second quadrature compensation
electrode 30 with first sense electrode 26 results in the cancellation of the respective
error components.
[0025] Referring to FIG. 3 in connection with FIGs. 1 and 2, FIG. 3 shows a table of equations
representing the quadrature compensation feature of the angular rate sensor of FIG.
1. An output signal 72, e.g., a capacitance, at positive output terminal 68 (SMU+)
is a function of a Coriolis Response 74, labeled "CR(2)" plus a quadrature error component
76, labeled "QE(2)" at second sense electrode 28, subtracted by a quadrature error
component 78, labeled "QE(1)" at first quadrature compensation electrode 24. In addition,
an output signal 80, e.g., a capacitance, at negative output terminal 70 (SMU-) is
a function of a Coriolis Response 82, labeled "CR(1)" plus a quadrature error component
84, labeled "QE(4)" at first sense electrode 26, subtracted by a quadrature error
component 86, labeled "QE(3)" at second quadrature compensation electrode 30.
[0026] Through the reverse polarity electrical coupling of first quadrature compensation
electrode 24 with second sense electrode 28, quadrature error component 78 at first
quadrature compensation electrode 24 substantially cancels quadrature error component
76 at second sense electrode 28. Additionally, through the reverse polarity coupling
of second quadrature compensation electrode 30 with first sense electrode 26, quadrature
error component 86 at second quadrature compensation electrode 30 substantially cancels
quadrature error component 84 at first sense electrode 26. Thus, quadrature error
at first and second sense electrodes 26 and 28 can be substantially cancelled without
using more power intensive and complex electrostatic force techniques and/or without
application of a cancellation signal.
[0027] Angular rate sensor 20 is provided with only two pairs of conductive plates (e.g.,
quadrature compensation electrodes 24 and 30 and sense electrodes 26 and 28) for simplicity
of illustration. It should be understood, however, that in alternative embodiments,
additional electrode shapes, sizes, and types may be implemented for a particular
design, provided that quadrature compensation electrodes associated with a drive mass
are electrically coupled in reverse polarity with the sense electrodes. In addition,
angular rate sensor 20 includes a generally rectangular drive mass and a circular
sense mass. However, in alternative embodiments, the drive mass and/or sense mass
can have different shapes, such as circular rings, disks, and the like.
[0028] Referring to FIGs. 4 and 5, FIG. 4 shows a top view diagram of an angular rate sensor
90 in accordance with another embodiment, and FIG. 5 shows an enlarged view of a portion
of angular rate sensor 90. Angular rate sensor 90 exemplifies the quadrature compensation
technique in a single axis sensor configured to sense angular rate about Z-axis 46.
Thus, Z-axis 46 is referred to in connection with angular rate sensor 90 as an input
axis 46. Various elements of angular rate sensor 90 are illustrated with shading or
hatching in order to better distinguish them from one another. In accordance with
conventional manufacturing techniques, the various elements may be formed concurrently
through deposition, patterning, and etching processes, and thus are likely to be manufactured
from the same material such as polysilicon.
[0029] Angular rate sensor 90 includes a split drive mass system, in the form of a first
drive mass 92 and a second drive mass 94 laterally disposed from first drive mass
92. First and second drive masses 92 and 94 are flexibly attached with flexible support
elements 96, e.g. springs, via anchors 98 so that they are suspended above surface
32 of substrate 22. Additionally, first and second drive masses 92 and 94 are coupled
to one another via flexible elements 100. Angular rate sensor 90 further includes
a first sense mass 102 residing in an opening 104, or notched section, extending through
first drive mass 92 and a second sense mass 106 residing in an opening 108, or notched
section, extending through second drive mass 94. First sense mass 102 is suspended
above surface 32 of substrate 22 and is connected to first drive mass 92 with flexible
support elements 110. Second sense mass 106 is suspended above surface 32 of substrate
22 and is connected to second drive mass 94 with flexible support elements 112.
[0030] Multiple first quadrature compensation electrodes 114 (illustrated using rightwardly
and upwardly directed narrow hatching) are fixedly attached to substrate 22 and are
associated with each of first and second drive masses 92 and 94. Second quadrature
compensation electrodes 116 (illustrated using rightwardly and downwardly directed
narrow hatching) are also fixedly attached to substrate 22 and are associated with
each of first and second drive masses 92 and 94. A pair of first and second compensation
electrodes 114 and 116 resides in each of multiple openings 118 extending through
first drive mass 92, and a pair of first and second compensation electrodes 114 and
116 resides in each of multiple openings 120 extending through second drive mass 94.
[0031] As more clearly visualized in FIG. 5, each of openings 118 and 120 includes a first
drive mass edge 122 and a second drive mass edge 124 located on opposing longitudinal
sides of openings 118 and 120. In each of openings 118 and 120, first compensation
electrode 114 is laterally disposed away from first drive mass edge 122 to form a
gap 126 between electrode 114 and first drive mass edge 122. Additionally, in each
of openings 118 and 120, second compensation electrode 116 is laterally disposed away
from second drive mass edge 124 to form a gap 128 between electrode 116 and second
drive mass edge 124. A lengthwise dimension of first and second quadrature compensation
electrodes 114 and 116, as well as openings 118 and 120, is longitudinally aligned
with, i.e., parallel to, the drive axis, which in this embodiment is X-axis 50. Thus,
X-axis 50 is referred to in connection with angular rate sensor 90 as drive axis 50.
It should be observed that openings 120, including their quadrature compensation electrodes
114 and 116, exhibit flipped symmetry relative to openings 118, including their quadrature
compensation electrodes 114 and 116. As such, in the illustrated orientation of FIG.
4, first drive mass edge 122 for each of openings 118 is below its corresponding second
drive mass edge 124, whereas first drive mass edge 122 for each of openings 120 is
above its corresponding second drive mass edge 124. Likewise, quadrature compensation
electrodes 114 and 116 are in flipped relation in openings 120 relative to their positions
in openings 118.
[0032] First sense electrodes 130 (illustrated using rightwardly and upwardly directed wide
hatching) are fixedly attached to substrate 22 and are associated with each of first
and second sense masses 102 and 106. Second sense electrodes 132 (illustrated using
rightwardly and downwardly direct wide hatching) are also fixedly attached to substrate
22 and are associated with each of first and second sense masses 102 and 106. A pair
of first and second sense electrodes 130 and 132 resides in each of multiple openings
134 extending through first sense mass 102, and a pair of first and second sense electrodes
130 and 132 resides in each of multiple openings 136 extending through second sense
mass 106.
[0033] A more clearly visualized in FIG. 5, each of openings 134 and 136 includes a first
sense mass edge 138 and a second sense mass edge 140 located on opposing longitudinal
sides of openings 134 and 136. In each of openings 134 and 136, first sense electrode
130 is laterally disposed away from second sense mass edge 140 to form a gap 144 between
electrode 130 and second sense mass edge 140. Additionally, in each of openings 134
and 136, second sense electrode 132 is laterally disposed away from first sense mass
edge 138 to form a gap 142 between electrode 132 and first sense mass edge 138. A
lengthwise dimension of first and second sense electrodes 130 and 132, as well as
openings 134 and 136, is longitudinally aligned with, i.e., parallel to, drive axis
50. It should be observed that openings 136, including their first and second sense
electrodes 130 and 132, exhibit flipped symmetry relative to openings 134, including
their first and second sense electrodes 130 and 132. As such, in the illustrated orientation
of FIGs. 4 and 5, second sense mass edge 140 for each of openings 134 is above its
corresponding first sense mass edge 138, whereas second sense mass edge 140 for each
of openings 136 is below its corresponding first sense mass edge 138. Likewise, sense
electrodes 130 and 132 are in flipped relation in openings 136 relative to their positions
in openings 134.
[0034] Conductors can be formed on substrate 22 to provide the reverse polarity electrical
connections. In accordance with a particular embodiment, first conductors 146 electrically
couple first quadrature compensation electrodes 114, disposed beside first drive mass
edge 122 of openings 118 and 120 in each of first and second drive masses 92 and 94,
with first sense electrodes 130, disposed beside second sense mass edge 140 of openings
134 and 136. In addition, second conductors 148 electrically couple second quadrature
compensation electrode 116, disposed beside second drive mass edge 124 of openings
118 and 120 in each of first and second drive masses 92 and 94, with second sense
electrodes 132 disposed beside first sense mass edge 138 of openings 134 and 136.
[0035] In the illustrated embodiment, a positive output terminal 150 (labeled "SMU+") is
coupled with first sense electrodes 130 and first quadrature compensation electrodes
114 by way of first conductors 146. Likewise, a negative output terminal 152 (labeled
"SMU-") is coupled with second sense electrodes 132 and second quadrature compensation
electrodes 116 by way of second conductors 148. Thus, first sense electrodes 130 may
be considered a positive sense pole of angular rate sensor 90, with first quadrature
compensation electrodes 114 being a negative compensation pole of angular rate sensor
90. In addition, second sense electrodes 132 may be considered a negative sense pole
of angular rate sensor 90, with second quadrature compensation electrodes 116 being
a positive compensation pole of angular rate sensor 90.
[0036] The electrical coupling of first quadrature compensation electrodes 114 with first
sense electrodes 130 and their respective flipped locations results in electrodes
114 and 130 being electrically coupled in reverse polarity. Likewise, the electrical
coupling of second quadrature compensation electrodes 116 with second sense electrodes
132 and their respective flipped locations also results in electrodes 116 and 132
being electrically coupled in reverse polarity.
[0037] To operate angular rate sensor 90, a drive system (not shown for simplicity of illustration)
in communication with first and second drive masses 92 and 94, enables mechanical
linear oscillation of drive masses 92 and 94, as represented by oppositely pointing
arrows 154, within a plane parallel to surface 32 of substrate 22. Thus, first and
second drive masses 92 and 94 linearly oscillate along drive axis 50. First and second
drive masses 92 and 94 are suitably linked together and/or otherwise suitably driven
to move in opposite directions, i.e., antiphase, along drive axis 50. First sense
mass 102 linearly oscillates along drive axis 50 together with first drive mass 92
due to the high stiffness of flexible support elements 110 to this motion. Likewise,
second sense mass 106 linearly oscillates along drive axis 50 together with second
drive mass 94 due to the high stiffness of flexible support elements 112 to this motion.
Thus, first and second drive masses 92 and 94 move in opposite directions relative
to one another, i.e., antiphase, along drive axis 50.
[0038] Once first and second sense masses 102 and 106 are put into linear oscillatory motion
along drive axis 50, angular rate sensor 90 is capable of detecting an angular rate,
i.e., angular velocity, induced by angular rate sensor 90 being rotated about an axis
of rotation, referred to herein as an input axis. In this example, the input axis
is Z-axis 46 perpendicular to surface 32 of substrate 22. Thus, Z-axis 46 is referred
to in connection with angular rate sensor 90 as an input axis 46. As angular rate
sensor 90 experiences an angular velocity about input axis 46, first and second sense
masses 102 and 106 are put into linear oscillatory motion along a third axis, referred
to herein as the sense axis. In this example, the sense axis is Y-axis 48. Therefore,
Y-axis 48 is referred to in connection with angular rate sensor 90 as a sense axis
48. In particular, a Coriolis acceleration occurs along sense axis 48, which is perpendicular
to both drive axis 50 and input axis 46. The Coriolis acceleration results in substantially
linear movement, as represented by arrows 156, of first and second sense masses 102
and 106 along sense axis 48, where movement 156 has an amplitude that is proportional
to the angular rotation rate of sensor 90 about input axis 46.
[0039] It should be readily observed in FIG. 5 that when first drive mass 92 and first sense
mass 102 oscillate in a first direction along sense axis 48, e.g., upward relative
to the illustration, a width of gap 126 between first quadrature compensation electrode
114 and first drive mass edge 122 decreases relative to a width of gap 144 between
second sense mass edge 140 and first sense electrode 130. Concurrently, a width of
gap 128 between second quadrature compensation electrode 116 and second drive mass
edge 124 increases relative to a width of gap 142 between second sense mass edge 140
and first sense electrode 130. Of course, when first drive mass 92 and first sense
mass 102 oscillate in a second direction opposing the first direction along sense
axis 48, e.g., downward relative to the illustration, this relationship between the
widths of gaps 126 and 144 and between gaps 128 and 142 is opposite to that described.
Additionally, since second drive mass 94 and second sense mass 104 move in antiphase
to first drive mass 92 and first sense mass 102, the position changes of second drive
mass 94 and second sense mass 106 and the corresponding changes in widths of gaps
will also be in antiphase.
[0040] Thus, as first and second sense masses 102 and 106 undergo the linear oscillatory
motion along sense axis 48, the position change (i.e., changes in gap width) is sensed
as changes in capacitance by first and second sense electrodes 130 and 132. The change
in capacitance sensed at first and second electrodes 130 and 132 is processed electronically
in the conventional manner to obtain the angular rate of angular rate sensor 90 about
input axis 46.
[0041] It will be recalled that first drive mass 92 together with first sense mass 102 linearly
oscillate along sense axis 48 in response to quadrature error. Likewise, second drive
mass 94 together with second sense mass 106 also linearly oscillate along sense axis
48 in response to quadrature error. This motion of both drive masses 92 and 94 and
sense masses 102 and 106 due to quadrature error is represented by oppositely pointing
arrows 158. This quadrature error produces signal error components at each of first
and second quadrature compensation electrodes 114 and 116, as well as at each of first
and second sense electrodes 130 and 132. The reverse polarity coupling of first quadrature
compensation electrodes 114 with first sense electrodes 130, and the reverse polarity
coupling of second quadrature compensation electrodes 116 with second sense electrodes
132 results in cancellation of the respective error components.
[0042] Embodiments described herein comprise microelectromechanical systems (MEMS) devices
in the form of angular rate sensors in which a quadrature compensation technique is
implemented. In accordance with embodiments disclosed herein, quadrature compensation
electrodes are added in association with the drive mass. The quadrature compensation
electrodes are coupled in reverse polarity with sense electrodes associated with the
sense mass. When an angular rate sensor experiences quadrature motion, both the drive
mass and the sense mass move together in response to this quadrature motion. By coupling
the quadrature compensation electrodes in reverse polarity with the sense electrodes,
a quadrature error signal component sensed at the quadrature compensation electrodes
due to quadrature motion of the drive mass substantially cancels a quadrature error
signal component sensed at the sense mass due to quadrature motion of the sense mass.
Consequently, the capacitance output due to quadrature error will be reduced to compensate
for the quadrature error. Consequently, compensation for quadrature error is accomplished
without using electrostatic force.
[0043] An embodiment of an angular rate sensor includes a substrate, a drive mass flexibly
coupled to the substrate, and a sense mass suspended above the substrate and flexibly
connected to the drive mass via flexible support elements. A first electrode is associated
with the drive mass and a second electrode is associated with the sense mass. The
second electrode is electrically coupled to the first electrode in reverse polarity
so that a first error component between the first electrode and the drive mass substantially
cancels a second error component between the second electrode and the sense mass.
[0044] An embodiment of method of compensating for quadrature error in an angular rate sensor,
where the angular rate sensor includes a drive mass flexibly coupled to a substrate
and a sense mass suspended above the substrate and flexibly connected to the drive
mass via flexible support elements, includes disposing a compensation electrode proximate
the drive mass, disposing a sense electrode proximate the sense mass, and electrically
coupling the compensation electrode with the sense electrode in reverse polarity so
that a first error component between the compensation electrode and the drive mass
substantially cancels a second error component between the sense electrode and the
sense mass. According to a further embodiment, wherein the compensation electrode
is a first compensation electrode, the sense electrode is a first sense electrode,
and the method also includes disposing a second compensation electrode proximate the
drive mass, disposing a second sense electrode proximate said sense mass, and electrically
coupling the second compensation electrode with the second sense electrode in the
reverse polarity so that a third error component between the second compensation electrode
and the drive mass substantially cancels a fourth error component between the second
sense electrode and the sense mass.
[0045] Although the preferred embodiments of the invention have been illustrated and described
in detail, it will be readily apparent to those skilled in the art that various modifications
may be made therein without departing from the spirit of the invention or from the
scope of the appended claims. For example, the drive mass(es) and/or sense mass(es)
can have different shapes, such as circular rings, disks, rectangles, and the like.
In addition, the drive mass(es) and sense mass(es) may be arranged differently from
that which is shown. For example, one sense mass may be centrally located, another
sense mass may form an outer frame structure, and the drive mass may be interposed
between the two sense masses. Furthermore, although embodiments discussed herein are
single axis designs, the same technique may be applied to multi-axis designs as well.
In accordance with the embodiments described herein, such variances in structure will
still include quadrature compensation electrodes in association with the drive mass(es)
and the reverse polarity coupling of the quadrature compensation electrodes with the
sense electrodes. Accordingly, it should be appreciated that the exemplary embodiments
are only examples, and are not intended to limit the scope, applicability, or configuration
of the invention.
1. An angular rate sensor (20), comprising:
a substrate (22);
a drive mass (36) flexibly coupled to said substrate (22);
a sense mass (42) suspended above said substrate (22) and flexibly connected to said
drive mass (36) via flexible support elements (44);
a first electrode (24) associated with said drive mass (36); and
a second electrode (28) associated with said sense mass (42), said second electrode
(28) being electrically coupled to said first electrode (24) in reverse polarity so
that a first error component (78) between said first electrode (24) and said drive
mass (36) substantially cancels a second error component (76) between said second
electrode (28) and said sense mass (42).
2. An angular rate sensor (20) as claimed in claim 1, wherein:
said drive mass (36) together with said sense mass (42) are configured to move with
an oscillatory motion (45) relative to a drive axis (46);
said flexible support elements (44) enable said sense mass (42) to oscillate relative
to a sense axis (50) that is perpendicular to said drive axis (46) in response to
an angular velocity about an input axis (48) that is perpendicular to each of said
drive (46) and said sense (50) axes; and
said drive mass (36) together with said sense mass (42) oscillate relative to said
sense axis (50) in response to quadrature error (71), said quadrature error (71) producing
said first error component (78) at said first electrode (24) and said second error
component (76) at said second electrode (28).
3. An angular rate sensor (20) as claimed in claim 1 or 2, further comprising a positive
output terminal (68) electrically coupled with said second electrode (28), wherein
said second electrode (28) is a positive pole of said angular rate sensor (20) and
said first electrode (24) is a negative pole of said angular rate sensor (20).
4. An angular rate sensor (20) as claimed in claim 3, further comprising:
a third electrode (30) associated with said drive mass (36);
a fourth electrode (26) associated with said sense mass (42), said fourth electrode
(26) being electrically coupled to said third electrode (30); and
a negative output terminal (70) electrically coupled with said fourth electrode (26),
wherein said fourth electrode (26) is a negative pole of said angular rate sensor
(20) and said third electrode (30) is a positive pole of said angular rate sensor
(20) so that a third error component (86) between said drive mass (36) and said third
electrode (30) substantially cancels a fourth error component (84) between said sense
mass (42) and said fourth electrode (26).
5. An angular rate sensor (20) as claimed in any one of the preceding claims, wherein:
said drive mass (36) includes first (52) and second (54) regions separated by an axis
of rotation (50) oriented parallel to a surface (32) of said substrate (22);
said sense mass (42) includes third (56) and fourth (58) regions separated by said
axis of rotation (50), said first (52) and third (56) regions being laterally disposed
on a first side (60) of said axis of rotation (50), and said second (54) and fourth
(58) regions being laterally disposed on a second side (62) of said axis of rotation
(50);
said first electrode (24) is disposed beneath said first region (52); and
said second electrode (28) is disposed beneath said fourth region (58).
6. An angular rate sensor (20) as claimed in claim 5, wherein:
said first electrode (24) is fixedly attached to said first region (52) of said drive
mass (36) or to said substrate (22) underlying said first region (52); and
said second electrode (28) is fixedly attached to said fourth region (58) of said
sense mass (42) or to said substrate (22) underlying said sense mass (42).
7. An angular rate sensor (20) as claimed in claim 5 or 6, further comprising:
a third electrode (30) associated with said drive mass (36) and disposed beneath said
second region (54); and
a fourth electrode (26) associated with said sense mass (42) and disposed beneath
said third region (56), said third electrode (30) being coupled to said fourth electrode
(26) so that a third error component (86) between said drive mass (36) and said third
electrode (30) substantially cancels a fourth error component (84) between said sense
mass (42) and said fourth electrode (26).
8. An angular rate sensor (20) as claimed in claim 5,6 or 7, wherein said axis of rotation
(50) is a sense axis (50), and said drive mass (36) together with said sense mass
(42) are configured to move with said oscillatory motion (45) about a drive axis (46)
that is perpendicular to said surface (32), and said flexible support elements (44)
enable said sense mass (42) to oscillate about said sense axis (50) in response to
an angular velocity about an input axis (48) that is perpendicular to each of said
sense (50) and drive axes (46).
9. An angular rate sensor (90) as claimed in any one of the preceding claims, wherein:
said first electrode (114) is fixedly attached to said substrate (22) and is laterally
disposed away from a first edge (122) of said drive mass (92) to form a first gap
(126) between said first electrode (114) and said first edge (122);
said second electrode (130) is fixedly attached to said substrate (22) and is laterally
disposed away from a second edge (140) of said sense mass (102) to form a second gap
(144) between said second electrode (130) and said second edge (140); and
said drive mass (92) together with said sense mass (102) are configured to move substantially
parallel to a surface (32) of said substrate (22) along a drive axis (50), said flexible
support elements (110) enable said sense mass (102) to oscillate substantially parallel
to said surface (32) of said substrate (22) along a sense axis (48) that is perpendicular
to said drive axis (50) in response to an angular velocity about an input axis (46)
that is perpendicular to said surface (32) of said substrate (22).
10. An angular rate sensor (90) as claimed in claim 9, wherein:
said first electrode (114) and said first edge (122) of said drive mass (92) are longitudinally
aligned with said drive axis (50); and
said second electrode (130) and said second edge (140) of said sense mass (102) are
longitudinally aligned with said drive axis (50).
11. An angular rate sensor (90) as claimed in claim 9 or 10, wherein:
said first gap (126) exhibits a first width;
said second gap (144) exhibits a second width;
said drive mass (92) together with said sense mass (102) oscillate along said sense
axis (48) in response to quadrature error (158), said quadrature error (158) producing
said first error component (78) at said first electrode (114) and said second error
component (76) at said second electrode (130);
when said drive mass (92) and said sense mass (102) oscillate together in a first
direction along said sense axis (48), said first gap width increases and said second
gap width decreases, and
when drive mass (92) and said sense mass (102) oscillate together in a second direction
opposing said first direction, said first gap width decreases and said second gap
width increases.
12. A method of compensating for quadrature error (71) in an angular rate sensor (20),
said angular rate sensor (20) including a drive mass (36) flexibly coupled to a substrate
(22) and a sense mass (42) suspended above said substrate (22) and flexibly connected
to said drive mass (36) via flexible support elements (44), said method comprising:
disposing a compensation electrode (24) proximate said drive mass (36);
disposing a sense electrode (28) proximate said sense mass (42); and
electrically coupling (64) said compensation electrode (24) with said sense electrode
(28) in reverse polarity so that a first error component (78) between said compensation
electrode (24) and said drive mass (36) substantially cancels a second error component
(76) between said sense electrode (28) and said sense mass (42).
13. An angular rate sensor (20), comprising:
a substrate (22);
a drive mass (36) flexibly coupled to said substrate (22);
a sense mass (42) suspended above said substrate (22) and flexibly connected to said
drive mass (36) via flexible support elements (44), said drive mass (36) and sense
mass (42) moving together in oscillatory motion (45) relative to a drive axis (46),
said flexible support elements (44) enabling said sense mass (42) to oscillate relative
to a sense axis (50)that is perpendicular to said drive axis (46) in response to an
angular velocity about an input axis (48) that is perpendicular to each of said drive
(46) and said sense (50) axes, and said drive (36) and sense (42) masses oscillating
together relative to said sense axis (50) in response to quadrature error (71);
a quadrature compensation electrode (24) associated with said drive mass (36), said
quadrature error (71) producing a first error component (78) at said quadrature compensation
electrode (24);
a sense electrode (28) associated with said sense mass (42), said quadrature error
(71) producing a second error component (76) at said sense electrode (28), said sense
electrode (28) being electrically coupled (64) to said quadrature compensation electrode
(24) in reverse polarity so that said first error component (78) between said quadrature
compensation electrode (24) and said drive mass (36) substantially cancels said second
error component (76) between said sense electrode (28) and said sense mass (42); and
a positive output terminal (68) electrically coupled with said sense electrode (28),
wherein said sense electrode (28) is a positive sense pole of said angular rate sensor
(20) and said quadrature compensation electrode (24) is a negative compensation pole
of said angular rate sensor (20).
14. An angular rate sensor (20) as claimed in claim 13, wherein:
said drive mass (36) includes first (52) and second (54) regions separated by an axis
of rotation (50) oriented parallel to a surface (32) of said substrate (22);
said sense mass (42) includes third (56) and fourth (58) regions separated by said
axis of rotation (50), said first (52) and third (56) regions being laterally disposed
on a first side (60) of said axis of rotation (50), and said second (54) and fourth
(58) regions being laterally disposed on a second side (62) of said axis of rotation
(50);
said quadrature compensation electrode (24) is disposed beneath said first region
(52); and
said sense electrode (28) is disposed beneath said fourth region (58).
15. An angular rate sensor (90) as claimed in claim 13 or 14, wherein:
said quadrature compensation electrode (114) is fixedly attached to said substrate
(22) and is laterally disposed away from a first edge (122) of said drive mass (92)
to form a first gap (126) between said quadrature compensation electrode (114) and
said first edge (122);
said sense electrode (130) is fixedly attached to said substrate (22) and is laterally
disposed away from a second edge (140) of said sense mass (102) to form a second gap
(144) between said sense electrode (130) and said second edge (140); and
said drive mass (92) together with said sense mass (102) are configured to move substantially
parallel to a surface (32) of said substrate (22) along a drive axis (50), said flexible
support elements (110) enable said sense mass (102) to oscillate substantially parallel
to said surface (32) of said substrate along a sense axis (48) that is perpendicular
to said drive axis (50) in response to an angular velocity about an input axis (46)
that is perpendicular to said surface (32) of said substrate (22).